6364 has 12 divisors (see below), whose sum is σ = 11704. Its totient is φ = 3024.

The previous prime is 6361. The next prime is 6367. The reversal of 6364 is 4636.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6361) and next prime (6367).

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 14.

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 127 + ... + 169.

2⁶³⁶⁴ is an apocalyptic number.

6364 is the 43-rd nonagonal number.

It is an amenable number.

6364 is a deficient number, since it is larger than the sum of its proper divisors (5340).

6364 is a wasteful number, since it uses less digits than its factorization.

6364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 82 counting only the distinct ones).

The product of its digits is 432, while the sum is 19.

The square root of 6364 is about 79.7746827007. The cubic root of 6364 is about 18.5314779411.

Subtracting from 6364 its reverse (4636), we obtain a cube (1728 = 12³).

The spelling of 6364 in words is "six thousand, three hundred sixty-four".